Closing their eyes and doing their best Mariah Carey impressions, the pair then turn to face each other, and as the intro falls away they smile and hug.
Holly and Phil's fans rushed to comment on the video, with one saying: "Awww so sweet."
Another wrote: "Beautiful friendships."
"You both are so amazing," said a third.
The clip appeared to be a scene from the upcoming Dancing On Ice Christmas special, which airs on December 22 ahead of the main show arriving in January.
Filming tonight for our Dancing On Ice Christmas special.
Shortly after sharing it, Holly posted a couple of snaps to show off the gown she's wearing for the special.
In the first photo, she poses like a true snow queen in a sparkling low-cut gown.
The second, a GIF, shows Holly dancing on the spot as she shakes her stuff to display the dress's multiple glittering layers.
She wrote in the caption of the pics, shared on Tuesday (10.12.19) evening: "Filming tonight for our @dancingonice Christmas special... you are in for a festive treat on the 22nd December at 7pm @itv...
"Dress by @joao_rolo_couture shoes by @ginashoesofficial jewels by @boodlesjewellery."
The celebrity line-up for the 2020 series of Dancing On Ice, recently confirmed in full, posed on the white carpet in London for the show's launch night on Monday (09.12.19).
Among the line-up is Love Island star Maura Higgins, TV presenter Joe Swash, Coronation Street actress Lisa George and comedian Michael Barrymore.
Other stars include Diversity's Perri Kiely, model Caprice Bourret, presenter Trisha Goddard, ex footballer Kevin Kilbane, ITV journo Lucrezia Millarini, Paralympic sprinter Libby Clegg, Steps singer Ian 'H' Watkins and magician Ben Hanlin.
Holly stunned at the event in two dresses - a black strapless Peter Langner gown embroidered with a silver and glittery pattern, and later, a glamorous light pink dress.
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